What is a 'derivative'?

If we have a function f(x), taking its derivative would obtain a new function f'(x). However, now this second function f'(x) defines the tangent along any point on the original graph of f(x). This is useful for an astonishing amount of areas of mathematics, and it is important you know some of them to fully comprehend why it is we study differential equations/derivatives.

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Answered by Akasha Philip S. Maths tutor

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